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What does the set \{x | x < 8\} represent?\newlineChoices:\newline(A)all numbers equal to 88 \newline(B)all numbers less than or equal to 88 \newline(C)all numbers greater than 88 \newline(D)all numbers less than 88

Full solution

Q. What does the set {xx<8}\{x | x < 8\} represent?\newlineChoices:\newline(A)all numbers equal to 88 \newline(B)all numbers less than or equal to 88 \newline(C)all numbers greater than 88 \newline(D)all numbers less than 88
  1. Understand set notation: Understand the set notation.\newlineThe set {x | x < 8} uses the inequality sign '<' which means "less than". This set includes all numbers that are less than 88.
  2. Match set notation to choices: Match the set notation to the given choices.\newlineWe need to find which choice corresponds to the set of all numbers less than 88.\newline(A) Incorrect - This would be represented by {xx=8}\{x | x = 8\}.\newline(B) Incorrect - This would be represented by {xx8}\{x | x \leq 8\}.\newline(C) Incorrect - This would be represented by \{x | x > 8\}.\newline(D) Correct - This matches the set notation \{x | x < 8\}.

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